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Finding the Fourth Proportional to 9,222.75, 12,727.53 and 5,031

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Solution

The fourth proportional to 9,222.75, 12,727.53 and 5,031 is: 6,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.75 : 12,727.53 = 5,031 : x
  2. Step 2: Convert to fraction form
    9,222.75/12,727.53 = 5,031/x
  3. Step 3: Cross multiply
    9,222.75x = 12,727.53 × 5,031
  4. Step 4: Simplify right side
    9,222.75x = 64,032,203.43
  5. Step 5: Solve for x
    x = 64,032,203.43/9,222.75
  6. Step 6: Final answer
    x = 6,942.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.